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单词 identity matrix
释义

Definition of identity matrix in English:

identity matrix

noun
Mathematics
  • A square matrix in which all the elements of the principal diagonal are ones and all other elements are zeros. The effect of multiplying a given matrix by an identity matrix is to leave the given matrix unchanged.

    Example sentencesExamples
    • The variance-covariance matrix of residuals is, where R is an identity matrix.
    • The matrix I is the identity matrix with ‘ones’ on the diagonal and ‘zeros’ off the diagonal.
    • Consider the simple example that arises from regarding the 3 x 3 identity matrix as a co-occurrence matrix.
    • Here G is the geometry matrix, and I is the identity matrix.
    • The prior correlation matrix was assigned to be the identity matrix, i.e., R = I.
 
 

Definition of identity matrix in US English:

identity matrix

noun
Mathematics
  • A square matrix in which all the elements of the principal diagonal are ones and all other elements are zeros. The effect of multiplying a given matrix by an identity matrix is to leave the given matrix unchanged.

    Example sentencesExamples
    • Consider the simple example that arises from regarding the 3 x 3 identity matrix as a co-occurrence matrix.
    • The prior correlation matrix was assigned to be the identity matrix, i.e., R = I.
    • The matrix I is the identity matrix with ‘ones’ on the diagonal and ‘zeros’ off the diagonal.
    • Here G is the geometry matrix, and I is the identity matrix.
    • The variance-covariance matrix of residuals is, where R is an identity matrix.
 
 
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更新时间:2025/1/11 19:30:58